The isometric extension problem between unit spheres of two separable Banach spaces
Gespeichert in:
Verfasser / Beitragende:
[Guang Ding]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/12(2015-12-01), 1872-1878
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4742-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4742-2 | ||
| 100 | 1 | |a Ding |D Guang |u School of Mathematical Sciences and LPMC, Nankai University, 300071, Tianjin, P. R. China |4 aut | |
| 245 | 1 | 4 | |a The isometric extension problem between unit spheres of two separable Banach spaces |h [Elektronische Daten] |c [Guang Ding] |
| 520 | 3 | |a In this article, we use some analytic and geometric characters of the smooth points in a sphere to study the isometric extension problem in the separable or reflexive real Banach spaces. We obtain that under some condition the answer to this problem is affirmative. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Isometric extension |2 nationallicence | |
| 690 | 7 | |a smooth point |2 nationallicence | |
| 690 | 7 | |a supporting functional |2 nationallicence | |
| 690 | 7 | |a set of first category |2 nationallicence | |
| 690 | 7 | |a set of second category |2 nationallicence | |
| 690 | 7 | |a residual subset |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/12(2015-12-01), 1872-1878 |x 1439-8516 |q 31:12<1872 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4742-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4742-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Ding |D Guang |u School of Mathematical Sciences and LPMC, Nankai University, 300071, Tianjin, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/12(2015-12-01), 1872-1878 |x 1439-8516 |q 31:12<1872 |1 2015 |2 31 |o 10114 | ||